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3 years ago

In angle abc, angle c is a right angle what is the measure of x? 8 and 21

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Square root 377 a2 + b2 = c2 c2 = square root (c2)

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Someone help me please

Gemiola [76]

Answer:

$x=2\sqrt{6}$

Step-by-step explanation:

Use the Pythagorean theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. Insert the values:

$\sqrt{10}^2+\sqrt{14}^2=x^2$

Simplify exponents using the rule $\sqrt{x}^2=x$ :

$10+14=x^2$

Simplify addition:

$24=x^2\\x^2=24$

Find the square root:

$\sqrt{x^2}=\sqrt{24}\\ x=\sqrt{24}$

Simplify in radical form: Find a common factor of 24 that is a perfect square:

$\sqrt{24}=\sqrt{4*6}$

Separate:

$\sqrt{4}*\sqrt{6}$

Simplify:

$2*\sqrt{6}\\x=2\sqrt{6}$

Finito.

3 0

3 years ago

Read 2 more answers

On a map, 3 cm represents 35 miles. What is the actual distance if two cities are 6.5 cm apart on the map?

Lina20 [59]

Answer:

75 miles

Step-by-step explanation:

35 times 2= is 70

so 6 cm is 70

plus 5 for the .5

so 70+5= 75

6 0

3 years ago

Jesse says that the expressions 762x + 9) and 14x + 9 are equivalent

Schach [20]

Answer:

Jesse is an idiot

Step-by-step explanation:

762x does not equal 14x

5 0

2 years ago

Can the sine rule relationship in trigonometry be used with non right angled triangle

Reika [66]

Answer:

Below

Step-by-step explanation:

You can use it if you added a hight.

When you a hight you are creating a right triangle. If not you cannot use directly

7 0

3 years ago

Read 2 more answers

X = cos(2t) and y = sin(2t) <br> Find the second derivative

Elodia [21]

Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2cos(2t)
dx/dt = -2sin(2t)

dy/dx = 2cos(2t)/-2sin(2t) = -cot(2t)

d^y/dx^2 = d(-1/tan(2t))/dx = (tan(2t) * 0 - (-1)*2sec^2(2t))/tan^2(2t) = 2sec^2(2t)/tan^2(2t) = 2csc^2 (2t)

3 0

3 years ago